I don't understand what you mean by "replacing the intersection of 
cardinalities with an if statement", but if it's a change of the proof that 
removes dependency on ax-ac2, this is of course welcome. You can:
* copy mreexexd to mreexexdOLD, with comment "Obsolete proof of ~  mreexexd 
. (Proof modification is discouraged.)  (New usage is discouraged.)" (and 
place it right after mreexexd)
* modify the proof of mreexexd as you indicated, and add at the end of its 
comment: "Revised to remove dependendy on ~ ax-ac2 .  (Revised by xxx, 
14-May-2021.)"

BenoƮt

On Friday, May 14, 2021 at 2:17:09 PM UTC+2 Norman Megill wrote:

> I think that removing dependence on AC is usually a good thing.
>
> Norm
>
> On Friday, May 14, 2021 at 4:14:24 AM UTC-4 [email protected] wrote:
>
>> You might've already noticed when I posted my first attempt to prove that 
>> the algebraic numbers were a field, but I made a minor change to the proof 
>> of mreexexd that would make it cease to be reliant on ax-ac2 (replacing the 
>> intersection of cardinalities with an if statement) and I was going to make 
>> that change to the main database on my next upload, which is going to be a 
>> theorem that a matrix on a field is a unit iff the determinant is 
>> non-zero.  I was wondering if this would be okay?
>
>

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